We look at the division of 565794 by 59 
Our goal is to divide 565794 by 59.

Let's proceed to step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 59

On to step 2:
When dividing 56 by 59, we get 0 with a remainder of 56.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Include the next digit (5) from the dividend after 56, then repeat: 565 / 59

Going ahead to step 3:
59 goes into 565 9 times with a remainder of 34.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 34 after subtracting 531 from 565.
Append the next digit (7) from the dividend to 34 and continue with: 347 / 59

On to step 4:
59 can be fit into 347 5 times, resulting in a remainder of 52.
Put 5 as the next digit of the answer. 
Result so far: 95.0
Deduct 295 from 347 and we're left with 52.
Fetch the next digit (9) from the dividend, attach it to 52 and continue: 529 / 59

On to step 5:
The number 59 fits into 529 8 times, leaving a remainder of 57.
Put 8 as the next digit of the answer. 
Result so far: 958.0
Subtracting 472 from 529 leaves us with 57.
Grab the next digit (4) from the dividend, add it to 57, then carry on: 574 / 59

On to step 6:
59 goes into 574 9 times with a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 9589.0
The remainder is 43 after subtracting 531 from 574.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 7:
If we divide 430 by 59, we get 7 and a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 9589.7
Subtract 413 from 430 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 8:
If we divide 170 by 59, we get 2 and a remainder of 52.
Write down 2 as next digit of the result. 
Result so far: 9589.72
If we take 118 away from 170, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 9:
59 can be fit into 520 8 times, resulting in a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 9589.728
Deduct 472 from 520 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 10:
59 can be fit into 480 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 9589.7288
Subtracting 472 from 480 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 9589.7288 with a balance of 8e-05.